{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A page to prepare figures for the geostat class\n",
    "\n",
    "January 2018 - P. Renard\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "from math import sqrt, pi\n",
    "from scipy.special import erf, gamma\n",
    "\n",
    "import geostat as geo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def pdfBeta(z,a,b):\n",
    "    f = gamma(a+b) * z**(a-1) * (1-z)**(b-1) / gamma(a) / gamma(b)\n",
    "    \n",
    "    return f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "z = np.linspace(0,1,100)\n",
    "f = pdfBeta(z,3,5)\n",
    "F = np.cumsum(f)/100\n",
    "z = z-0.2\n",
    "\n",
    "fig, ax1 = plt.subplots( figsize=(5, 4))\n",
    "ax1.plot(z, F)\n",
    "\n",
    "ax1.set_xlabel('z',fontsize=14)\n",
    "ax1.set_ylabel('F(z)',fontsize=14)\n",
    "ax1.legend()\n",
    "ax1.grid()\n",
    "\n",
    "plt.savefig('tmp.png')\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "zl = np.linspace(0,0.3)\n",
    "fl = pdfBeta(zl,3,5)\n",
    "f0 = np.zeros( zl.shape )\n",
    "zl = zl-0.2\n",
    "\n",
    "fig, ax1 = plt.subplots( figsize=(5, 4))\n",
    "ax1.plot(z, f)\n",
    "\n",
    "ax1.set_xlabel('z',fontsize=14)\n",
    "ax1.set_ylabel('f(z)',fontsize=14)\n",
    "ax1.legend()\n",
    "ax1.grid()\n",
    "ax1.fill_between(zl, f0 ,fl , facecolor='gray',  alpha=0.4)\n",
    "\n",
    "\n",
    "plt.savefig('tmp.png')\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def pdfGaussian(z,m,s):\n",
    "    f = np.exp(-((z-m)/s)**2/2)/s/sqrt(2*pi)\n",
    "    return f\n",
    "\n",
    "def cdfGaussian(z,m,s):\n",
    "    f = (1+erf((z-m)/s/sqrt(2*pi)))/2\n",
    "    return f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "mu = 4\n",
    "s = 3\n",
    "\n",
    "zmin = mu-5*s\n",
    "zmax = mu+5*s\n",
    "\n",
    "z = np.linspace(zmin,zmax)\n",
    "\n",
    "zliml = mu-2*s\n",
    "zlimr = 2*s+mu\n",
    "\n",
    "zl = np.linspace(-3*s+mu, zliml)\n",
    "zr = np.linspace(zlimr,3*s+mu)\n",
    "\n",
    "f = pdfGaussian(z,mu,s)\n",
    "f0 = np.zeros( zl.shape )\n",
    "fl = pdfGaussian(zl,mu,s)\n",
    "fr = pdfGaussian(zr,mu,s)\n",
    "\n",
    "fig, (ax1,ax2) = plt.subplots(1, 2, figsize=(10, 4))\n",
    "\n",
    "ax1.plot(z,f)\n",
    "ax1.plot([zliml,zliml],[0, 2*pdfGaussian(zliml,mu,s)],'g--')\n",
    "ax1.plot([zlimr,zlimr],[0, 2*pdfGaussian(zlimr,mu,s)],'g--')\n",
    "ax1.fill_between(zl,f0 ,fl, facecolor='gray',  alpha=0.4)\n",
    "ax1.fill_between(zr,f0 ,fr, facecolor='gray',  alpha=0.4)\n",
    "ax1.set_xlabel('z',fontsize=14)\n",
    "ax1.set_ylabel('f(z)',fontsize=14)\n",
    "#ax1.grid()\n",
    "\n",
    "\n",
    "ax2.plot(z,cdfGaussian(z,mu,s))\n",
    "ax2.set_xlabel('z',fontsize=14)\n",
    "ax2.set_ylabel('F(z)',fontsize=14)\n",
    "#ax2.grid()\n",
    "\n",
    "\n",
    "plt.savefig('tmp.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "z = np.linspace(-5,5,100)\n",
    "zl = np.linspace(-5,-2)\n",
    "zr = np.linspace(2,5)\n",
    "\n",
    "fig, (ax1,ax2) = plt.subplots(1, 2, figsize=(10, 4))\n",
    "\n",
    "\n",
    "ax1.plot(z,pdfGaussian(z,0,1))\n",
    "ax1.plot([-2,-2],[0,0.1],'g--')\n",
    "ax1.plot([2,2],[0,0.1],'g--')\n",
    "ax1.fill_between(zl, np.zeros( zl.shape ),pdfGaussian(zl,0,1), facecolor='gray',  alpha=0.4)\n",
    "ax1.fill_between(zr, np.zeros( zl.shape ),pdfGaussian(zr,0,1), facecolor='gray',  alpha=0.4)\n",
    "ax1.set_xlabel('z',fontsize=14)\n",
    "ax1.set_ylabel('f(z)',fontsize=14)\n",
    "#ax1.grid()\n",
    "\n",
    "\n",
    "ax2.plot(z,cdfGaussian(z,0,1))\n",
    "ax2.set_xlabel('z',fontsize=14)\n",
    "ax2.set_ylabel('F(z)',fontsize=14)\n",
    "#ax2.grid()\n",
    "\n",
    "\n",
    "plt.savefig('gaussianPDf.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "z = np.linspace(-7,7,100)\n",
    "\n",
    "fig, ax1 = plt.subplots( figsize=(5, 4))\n",
    "ax1.plot(z, pdfGaussian(z,0,1), label=r\"$\\mu$=0\")\n",
    "ax1.plot(z, pdfGaussian(z,-2,1),'--', label=r\"$\\mu$=-2\")\n",
    "ax1.plot(z, pdfGaussian(z,2,1),'--', label=r\"$\\mu$=2\")\n",
    "ax1.set_xlabel('z',fontsize=14)\n",
    "ax1.set_ylabel('f(z)',fontsize=14)\n",
    "plt.title(r'$\\sigma$=1',fontsize=14)\n",
    "ax1.legend()\n",
    "#ax1.grid()\n",
    "\n",
    "plt.savefig('tmp.png')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "z = np.linspace(-7,7,300)\n",
    "\n",
    "fig, ax1 = plt.subplots( figsize=(5, 4))\n",
    "ax1.plot(z, pdfGaussian(z,0,1), label=r\"$\\sigma$=1\")\n",
    "ax1.plot(z, pdfGaussian(z,0,1/3),'--', label=r\"$\\sigma$=1/3\")\n",
    "ax1.plot(z, pdfGaussian(z,0,3),'--', label=r\"$\\sigma$=3\")\n",
    "ax1.set_xlabel('z',fontsize=14)\n",
    "ax1.set_ylabel('f(z)',fontsize=14)\n",
    "plt.title(r'$\\mu$=0',fontsize=14)\n",
    "ax1.legend()\n",
    "#ax1.grid()\n",
    "\n",
    "plt.savefig('tmp.png')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def multivariate_gaussian(pos, mu, Sigma):\n",
    "    \"\"\"Return the multivariate Gaussian distribution on array pos.\n",
    "\n",
    "    pos is an array constructed by packing the meshed arrays of variables\n",
    "    x_1, x_2, x_3, ..., x_k into its _last_ dimension.\n",
    "\n",
    "    \"\"\"\n",
    "\n",
    "    n = mu.shape[0]\n",
    "    Sigma_det = np.linalg.det(Sigma)\n",
    "    Sigma_inv = np.linalg.inv(Sigma)\n",
    "    N = np.sqrt((2*np.pi)**n * Sigma_det)\n",
    "    # This einsum call calculates (x-mu)T.Sigma-1.(x-mu) in a vectorized\n",
    "    # way across all the input variables.\n",
    "    fac = np.einsum('...k,kl,...l->...', pos-mu, Sigma_inv, pos-mu)\n",
    "\n",
    "    return np.exp(-fac / 2) / N"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# Our 2-dimensional distribution will be over variables X and Y\n",
    "N = 60\n",
    "X = np.linspace(-3, 3, N)\n",
    "Y = np.linspace(-3, 3, N)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "\n",
    "# Mean vector and covariance matrix\n",
    "mu = np.array([0., 0.])\n",
    "sx = 1.2\n",
    "sy = 1.2\n",
    "rho = -0.7\n",
    "cxy = rho * sx *sy\n",
    "Sigma = np.array([[ sx**2. , cxy], [cxy,  sy**2] ])\n",
    "\n",
    "# Pack X and Y into a single 3-dimensional array\n",
    "pos = np.empty(X.shape + (2,))\n",
    "pos[:, :, 0] = X\n",
    "pos[:, :, 1] = Y\n",
    "\n",
    "# The distribution on the variables X, Y packed into pos.\n",
    "Z = multivariate_gaussian(pos, mu, Sigma)\n",
    "\n",
    "# Create a surface plot and projected filled contour plot under it.\n",
    "fig = plt.figure( figsize=(12,12) )\n",
    "ax = fig.gca(projection='3d')\n",
    "ax.plot_surface(X, Y, Z, rstride=3, cstride=3, linewidth=1, antialiased=True,\n",
    "                cmap=cm.viridis)\n",
    "\n",
    "cset = ax.contourf(X, Y, Z, zdir='z', offset=-0.3, cmap=cm.viridis)\n",
    "\n",
    "# Adjust the limits, ticks and view angle\n",
    "ax.set_zlim(-0.35,0.1)\n",
    "ax.set_zticks(np.linspace(0,0.1,2))\n",
    "ax.view_init(40, 70)\n",
    "ax.set_xlabel('x',fontsize=20)\n",
    "ax.set_ylabel('y',fontsize=20)\n",
    "#ax.set_title('f(x,y)',fontsize=20)\n",
    "\n",
    "plt.savefig('tmp.png')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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D1W4xj3wLs5kYYgHRF8IsQyEVCUA3TFyZTkHVDaiGCVkzUFPc26dPNzCTCmGl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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c942286278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot a perspective view of an isotropic and anisotropic variogram\n",
    "\n",
    "N = 300\n",
    "X = np.linspace(-2, 2, N)\n",
    "Y = np.linspace(-2, 2, N)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "\n",
    "#R = np.sqrt((Y)**2+(X)**2) # Isotropic\n",
    "#variomod = geo.Variogram( 1, 1, typ='spherical' , nugget=0)\n",
    "\n",
    "# Anisotropic case\n",
    "angle = np.pi/6\n",
    "lx = 2\n",
    "ly = 0.7\n",
    "X2 = X * np.cos(angle) + Y * np.sin(angle)\n",
    "Y2 = -X * np.sin(angle) + Y * np.cos(angle)\n",
    "R = np.sqrt((X2/lx)**2+(Y2/ly)**2) # Anisotropic\n",
    "variomod = geo.Variogram( 1, 1, typ='spherical' , nugget=0)\n",
    "\n",
    "C = variomod(R)\n",
    "\n",
    "# Create a surface plot and projected filled contour plot under it.\n",
    "fig = plt.figure( figsize=(12,7) )\n",
    "ax = fig.gca(projection='3d')\n",
    "ax.plot_surface(X, Y, C)\n",
    "\n",
    "cset = ax.contourf(X, Y, C, zdir='z', offset=-0.3, cmap=cm.viridis)\n",
    "\n",
    "# Adjust the limits, and view angle\n",
    "ax.set_zlim(-0.35,1.2)\n",
    "ax.view_init(40, 70)\n",
    "\n",
    "#ax.view_init(90, 0)\n",
    "\n",
    "plt.savefig('tmp.png')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/l4WwBZYkd18gPNf7iJxtuTUBmiildiql9iileudXkVLqZaXUfqXU/piYmOJF\nXAntD0vgcGQyz3UNsLy74/APEPEP9JwCzpZ143xz7BuCooMY32k8td1qW3TMpQ+nkh4URN2pH+J6\nSyvLYhNCVHiWJPf8spHO894BaAzcCQwCFimlrpvoW2u9QGvdQWvdwdu7iJNlVWJLd57D08WBh9vl\n/Z1YgKy0XEMfLVtw+nTCaWYHzebuenfTP9Cy2R4TVq8m8fvvqTn4JTz79rUsNiFEpWBJco8Acj9K\n6QdE5VPmF611ttb6HHACc7K/6UUmprPxyGUGdfKnipOFg5N2zzUPfew9DewK/xFlm7KZuGMibo5u\nTOli2VqmacHBXHr/A9y6dcN75EjL4hJCVBqWJPd9QGOlVAOllBMwEFiXp8zPwF0ASikvzN00Z60Z\naGW1fPd5AJ7pEmDZAakxsHMmNLvf4qGPC0MWciz+GFO6TLHoKdTs6GgiR7yOY+3aMmeMEDaq0OSu\ntTYAw4CNwDFgtdb6iFLqPaXUAznFNgJxSqmjwBZgrNY6rrSCrizSsgys+iec+1rWwreaq2UH/f2x\n+YnUXu9aVPxI7BEWhCzg/sD76VW/V6HldVYWka+PxJiait+cL2SZPCFslEX9BFrrDcCGPNum5Hqt\ngVE5XyLHj0GRJKVn87ylwx9jT8OBpdDhefAqfE3VDEMGE3dMpKZrTSZ0smzxjUtTp5IeHIzv5zNw\nadrUsriEEJWOPKFaSrTWfL3rPK18PelQ38L1Uf96FxxcLJ71cU7wHM4mnWV+r/l4OhU+mVjCmjUk\nrvqemi+9iGefPpbFJISolGTK31Ky/VQsp6NTeaFbA8uGP4b/A8fWQbfXwb3wseZBl4NYfnQ5TzR9\ngq6+XQstn37wIJffex+3rl3xfsPyuWaEEJWTJPdS8vWu83i5O9OvdZ3CC2sNf75lXvC6y2uFFs8w\nZDBl1xTqutdlVPvCe8IMMTFEjHgdh1q18J3xmdxAFeImIN0ypSA8Po0tJ6IZfndjnB0sSKTHf4Pw\nPdB/Fji5FVr8y4NfEpYcxqJ7FxW6FqrOyiLi9ZEYU1IIWLVSbqAKcZOQ5F4Kvtkbhp1S/F9H/8IL\nG7Phf2+DV1No+1ShxUNiQlh2dBmPNXmMTnU6FVr+8vTp5idQP5suN1CFuIlIcreyjGwjq/eFc2+L\nWtSuasEEXEHLIe40DFoF9jf+cWQZs5iycwrert4Wdcckb9hAwvIVVH/6aar262fptyCEsAGS3K3s\nt5CLJKRl83Tn+oUXzkyBrR9B/W7QJN/peK4xP2Q+Z5LO8GXPL3F3cr9x1WfPcnHyW7i2bUutsWMs\nDV8IYSMkuVvZij1hNPR2o0tEAbPzAAAgAElEQVRDC9Yr3TUHrsTAoO+hkBE1x+KOsTh0MQ80fIDb\n/W6/YVnTlStEjBiBcnbGd+bnKCenonwLQggbIKNlrCg0IomD4Yk83bl+4cMfr8TC7jnQ/AHwa3/D\notmmbKbsmkJ1l+qMu23cDctqrbn49jtknTmL72fTcaxt2eyQQgjbIi13K1qx5zxVnOx5uL1f4YV3\nfA7ZaXD35EKLLj28lOPxx5l510yqOle9YdmElStJ/vVXvF8fgVvXwse/CyFsk7TcrSQxLYtfDkbx\n4K2+eLo43rhwUiT8sxDaDALvG49gOZ1wmnmH5tE7oDc9/XvesGx6SAiXP5qG2x09qDlkSFG/BSGE\nDZHkbiVrD0SQaTBZdiP1749Bm+DOfJej/Y/RZGTKrim4O7oXOneMISGBiJEjcfT2xvfjj1EWTBUs\nhLBd0i1jBSaT5ps9YdwWUJ3mdQqZ4yXuDAR/A7e9BNVuPA7+m2PfEBobyic9PqGGS40Cy2mjkaix\n4zDGxFL/u+/kQSUhhLTcrWH76VjOx6XxlCWt9i1TwcEZetx4eGJkaiRzD86lh18PegfceJhk7Ffz\nuLJjB7UmTZKl8oQQgCR3q1ixOwwvdyd6typkZMqlUDi8FjoPveHkYFpr3t/zPgCTO02+4cibK7t2\nETt3LlUHPEC1Jx4vVvxCCNsjyb2ELials/n4ZR7vUK/weWQ2fwAuVaHr8BsW++P8H+yM3MmIW0dQ\nx73giceyo6OJHDsOp4aB1H77bcsX3xZC2Dzpcy+h1fsiMGkYVNg8Mhf2wsk/oOcUcC14fvekzCSm\n/TONljVbMqjZoALLaaORqHFvYrpyhfpfL8Wuyo0nEBNC3FwkuZeA0aT5ft8Fbm/sRb0aN0iuWsNf\n74GbD3R65YZ1zjgwg6TMJObfMx97u4L/EoidN4+0PXuo8+GHODeWtciFENeSbpkS2HYyhqikjMJn\nfzyzGcJ2QI+xN5zSd9+lffx46keeafkMzWo0K7Dclb3/EDv3Szwf6E/Vhx8qbvhCCBsmyb0Evt17\nAS93Z3q1qFVwoX9b7VX9of2zBRbLNGby3u738HX3ZWiboQWWM8TFETVmDE7+/tSRfnYhRAGkW6aY\nLiVlsPn4ZYbc0RBH+xv8jjy2Hi4ehAe/Mg+BLMDCkIWcTz7P/F7zcXVwzbeMNpmIenM8xqQk6i1c\ngJ1b4Qt7CCFuTtJyL6bV+8MxaRh4W72CC5mMsOVD8GoCrZ8osNjphNMsPryY+wPvv+F6qHGLFpvH\ns0+ciEuzgrtthBBCWu7FYL6RGs7tjb2oX/MGrecjP0HMcXh0CRRwc9SkTby7+13cHd0Ze9vYAqtK\nCwoiZtYsPPr0lvHsQohCScu9GLadiiEyMf3Gwx9NRvMcMt7NoUXBNz3XnlzLwZiDjL1tbIFTDBgS\nEogcNRpHX1/qvP++9LMLIQolLfdiWLn3Al7uTvRqfoMbqYd/gNiT8NgyKGASr+i0aD4/8Dmd6nSi\nf2D/fMtorbk4YSLGuDjqr1qJvfuNV2ASQgiQlnuRXU7O4K/j0Tzavh5ODgVcPqPB3Gqv1cq8GEcB\npv0zzbwQR+cpBbbG479eRurWrfiMG4dry5bW+BaEEDcBSe5FtHpfOEaTvvGN1NA15kWv7xxfYKt9\nR+QONoVtYvAtg/H3zL97Jz0khOjPPsPjnl5Uf+pJa4QvhLhJSHIvAqNJs2pfON0a1STAq4Abqf+2\n2mu3hmb351skw5DB1L1TCfAM4PlWz+dfTWoqkaPH4ODjTZ0PPpB+diFEkUifexFsz7mROqHvDYYh\nhqyChHMwcGWBi14vPryY8JRwFt27CCf7/Bevvvz++2RHRlL/mxXYV73x0npCCJGXtNyLYOU/F6jp\n5sS9LQqY2teYDX9/AnXaQtM++RY5n3SexaGL6dugL53qdMq3TNL69ST9sg6vV1+lSrt21gpfCHET\nsSi5K6V6K6VOKKVOK6UKXBtOKfWoUkorpTpYL8SKITolg/8di+aR9n4F30g9+B0khsFdE/NttWut\n+XDvh7jYuxQ4pj0rPJxL77yLa/v2eL0i66AKIYqn0OSulLIH5gJ9gBbAIKVUi3zKeQAjgL3WDrIi\n+CkoEqNJ83iHAm6kGrJg23TwbQ+N7823yMbzG9lzcQ/D2w3Hy9Xruv06O5vIMWPAzg7fTz5GOUiv\nmRCieCxpuXcETmutz2qts4BVwIB8yr0PfAJkWDG+CkFrzer94bSvX51GPgWMMz/4DSRdgDvzb7Wn\nZqXyyb5PaFGzBY83yf8J05g5c8k4FEKd99/D0dfXmt+CEOImY0ly9wXCc72PyNn2H6XUrUA9rfWv\nVoytwgi6kMiZmCs83sEv/wKGTNj2GfjdBo165ltkzsE5xKbHMqXzlHznab+y9x/iFiyg6qOP4Nn7\nxmumCiFEYSxJ7vkN+dD/7VTKDvgcGF1oRUq9rJTar5TaHxMTY3mU5Wz1vnCqONnTr3Xd/AsELYfk\niAL72o/GHWXl8ZU83vRxWnpd/yCSISGBqHHjcKpfn9oTJ1o7fCHETciS5B4B5O5o9gOicr33AFoB\nW5VS54HOwLr8bqpqrRdorTtorTt4e3sXP+oydCXTwK8hUfS7pQ7uzvn0gRsyYcfnUK8zBN513W6T\nNvHBng+o7lydEe1GXLdfa83Ft97CEB9P3c+my3J5QgirsCS57wMaK6UaKKWcgIHAun93aq2TtNZe\nWusArXUAsAd4QGu9v1QiLmMbQi9yJcvIEwU9kXrwW0iOhDvfzLfVvvbkWkJjQxlz2xg8nTyv25/4\n/WpS//cXPm+8IdMLCCGsptDkrrU2AMOAjcAxYLXW+ohS6j2lVMETp9iI1fvDCfRyo339fBa1NmbD\n9s/Bt0O+rfa49DhmBs2kU+1O9GvQ77r9madPc3naNNy6daPGcwWv0iSEEEVl0Vg7rfUGYEOebVMK\nKHtnycOqGM7GpLLvfAJv9m6W/+P/h1aZR8j0m55vq33GgRmkG9KZ2HnidcebMjOJHDUauypVqDvt\nI1QBc9AIIURxyEDqG1hzIAJ7O8Uj7fIZlmg0wPbPoE6bfMe1B0cHs+7MOl665SUCqwZetz96+mdk\nnjxJvfnzcKgk9x+EEJWHJPcCGIwmfjgQwV1NvfHxdLm+wOG15jlknvj2ula70WRk6t6p1HarzeBb\nBl93aMrWrSSsWEH1p5/G/Y47SutbEELcxKQvoAB/n4whOiWTx/J7ItVkND+N6tMSmva9bveak2s4\nHn+csR3GUsXx2tEvhrg4Lk6ajHPTpviMKXT0qBBCFIu03Auwen84Xu5O3N3M5/qdR3+GuFPw2NfX\nzdcenxHP7ODZdKrTiXvq33PNPq01Fye/hSklhbpLl2Dn7FyK34EQ4mYmLfd8xKRk8texaB5u54ej\nfZ5LZDKZW+1eTaH59bMwzA6aTXp2OhM7Xn8TNXHNGlK3bMF71Bu4NGlSmt+CEOImJ8k9Hz8HR2Iw\n6fynGzj+K0QfhR5jrmu1h8aE8uOpH3mqxVMEVrv2JmrW+fNc/mgaVbp0psYzz5Rm+EIIIck9r38n\nCWvnX41GPh55d8K2T6FGQ2j58DW7TNrEh3s/xMvVi1favHLtYdnZRI57E+XoSN2PZNijEKL0SZbJ\nIzg8kVPRqflP7XtyI1wKgdtHg/21tyt+PPUjR+KOMLrDaNwcr12CL3befDJCQqjz7js41i5goQ8h\nhLAiSe55rNkfjqujPfe3yTNJmNbmtVGr+UPra6fsTcpMYlbQLNrXak/fBteOnkk/dIjYefPwfKA/\nnn3yX51JCCGsTZJ7LmlZBtYfuki/1vlMEnbmL4gKymm1O16z64vgL0jJSmFCxwnX3EQ1XblC5Lhx\nONTyofZbb5XFtyCEEIAMhbzGxiOXSM008Fj7PDdStTavjerpB23+75pdR+OOsvrEav6v+f/RtEbT\na/ZdnvYx2RfC8V/2NfYeefrvhRCiFEnLPZcfDkRSr4YrtwXUuHbHuW0Qvhe6jwQHp/82m7SJqXun\nUt2lOq+2ffWaQ1I2byZxzRpqvvgCbh07lkX4QgjxH0nuOaIS09l5JpaHb/XDzi7PJGDbPgX32nDr\n09dsXn9mPYdiDvFG+zeumc7XEBvLxclv4dy8OV4jrp/DXQghSpt0y+T4KTgSreGRdnm6ZC7sgfPb\n4b6p4Hh1jpnkrGRmHJhBG+82PNDw6szHWmsuTpqMKTUV32VfY+fkhBBClDVJ7pgT8g9BEXQMqIF/\nzTwrIW2fAa41oP1z12z+6uBXJGQk8FWvr7BTV/8ASvz+e1L//ptaEyfi3LhxGUQvhBDXk24Z4GB4\nImdjrvBI+zxT+14KhVMbofOr4HR17PrphNOsPL6Sx5o8RouaLf7bnnnuHJc//gS3rl2p/tSTZRW+\nEEJcR5I7sPZABC6OdvS9pc61O3Z8Dk4e0PGl/zZprfl438e4Obox/NbhV7dnZxM17k2UkxN1Ppoq\nT6EKIcrVTZ+BMrKNrD8URe+WtfFwyTV+Pe4MHPkJbnsRXK8usbc5fDN7Lu7h1bavUs2l2n/bY7/6\niozQUOq8+y6OtWqV5bcghBDXuemT+1/HoknOMPBI3rHtO2eCvRN0ee2/TZnGTKbvm06jao14oukT\n/21PDwkhdv4Cqg54AM/e95VV6EIIUaCb/obqD0ER1PZ0oWtDr6sbkyLh4ErzTVT3q/O5rzi6gojU\nCBbeuxAHO/OlM2VkEPXmeBx8fKg1aVIZRy+EEPm7qZN7TEomf5+M4eUegdjnHtu+ew5oE3S92qce\nnRbNgpAF3F3vbjrX6Xx1+4wZZJ07h//SJdh7eiKEEBXBTd0t88vBSIwmfe3Y9iuxcOBr8+Rg1ev/\nt3nmgZkYTAbG3DbmatE9e0hYvoLqTz6JW5cuZRi5EELc2E2b3LXWrD0QQZt61Wjk4351x955kJ0O\n3d/4b9OhmEOsP7ueZ1s+Sz0P81TAxpQUoiZOxKl+fVkLVQhR4dy0yf1IVDLHL6XwaO4bqRnJ8M8C\naH4/eJsnATNpE9P2TsPH1YfBtwz+r+jlj6ZhuHSZuh9Pw87VtazDF0KIG7ppk/sPQRE42dvRv3Wu\nse37l0BGEnQf9d+mdWfWcTjuMCPbj6SKo/np1ZTNW0j68UdqDh6Ma9u2ZR26EEIU6qZM7tlGE+sO\nRtGrhQ/VquTM/ZKdDrvnQsO7wbcdAKlZqcw8MJPW3q3pF9gPAEN8PBffegvnZs3wfu3Vgk4hhBDl\n6qYcLbP1RAxxV7KuvZEa/A1ciTYvxpFjQegC4jLimNNzDnbKDq01l955F2NyMv5LFqNkUjAhRAV1\nU7bcfzgQgZe7Ez2aeJs3GLNh52yo1wnqdwMgLDmMFUdXMKDhAFp5tQIg+ddfSfnzT7xHDMeladOC\nqhdCiHJ30yX3hCtZ/HX8MgPa+uJon/Pth66FpAvmVnvOMnnT903Hyc6Jke1HApB9+TKX3v8A11tv\npeYLL5RX+EIIYZGbLrmvD4ki26ivjpIxmWDHDKjVChrfC8DOyJ1sjdjKkDZD8HL1+m+Odp2dTd1p\nH6Hs7cvxOxBCiMLddMl97YEIWtTxpHmdnKdJj/8KsSfh9lGgFNmmbD7e9zH+Hv481fwpwDxH+5Ud\nO/AZOwan+vVvULsQQlQMFiV3pVRvpdQJpdRppdT4fPaPUkodVUqFKKX+UkpVyAx46nIKIRFJVycJ\n09rcaq8RCC0eBGDV8VWcSzrHuNvG4WTvRFZY2NU52gcNKsfohRDCcoUmd6WUPTAX6AO0AAYppVrk\nKRYMdNBatwbWAp9YO1Br+Ck4Ens7xQNt6po3nN0CUcHQbSTY2ROfEc9XB7+iW91u9PDrgTYaiZow\nEeXgQJ2pH6KUuvEJhBCigrCk5d4ROK21Pqu1zgJWAQNyF9Bab9Fap+W83QPkmT+3/JlMml8ORnF7\nYy+8PZzNG7fPAI+60GYgAF8Ef0G6IZ1xt41DKUX80qWkBwVR+63JONauXY7RCyFE0ViS3H2B8Fzv\nI3K2FeRF4Pf8diilXlZK7VdK7Y+JibE8Siv453w8kYnpPHRrTujh+8wLX3cdBg7OHIs7xg8nf2Bg\ns4EEVgsk48RJYmbNxuOee/Ds379MYxVCiJKyJLnn1xeh8y2o1FNAB+DT/PZrrRdorTtorTt4e3tb\nHqUV/BQUiZuTPfe2yGmB75xpXmGp/XNorZn2zzSqOVdjaNuh6KwsosaPx87Tk9rvviPdMUKISseS\n5B4B1Mv13g+IyltIKdULmAQ8oLXOtE541pGRbWRD6EV6t6qDq5M9xJyE479Bx5fByY0/w/4kKDqI\n4e2G4+nkScyXX5J57Bh13nsXhxo1yjt8IYQoMkuS+z6gsVKqgVLKCRgIrMtdQCl1KzAfc2KPtn6Y\nJfPXsWhSMg083C6nS2bXLHBwgY5DyDRm8vmBz2lSvQkPN3qY9NBQ4hYuoupDD+HRs2f5Bi6EEMVU\naHLXWhuAYcBG4BiwWmt9RCn1nlLqgZxinwLuwBql1EGl1LoCqisXPwVHUMvTmc6BNSE5Cg59D+2e\nBrearDi6gsjUSPNN1GwDUeMn4ODtTa2JE8o7bCGEKDaLJg7TWm8ANuTZNiXX615Wjstq4q9ksfVE\nDC92b2BeSm/Pl+Yl9LoMIzY9lkWhi7iz3p10qtOJ6M8+I+vMGeotXIi9h0d5hy6EEMVm80+o/hoS\nhcGkeaidL6Qnwv6voeVDUL0+c4LnkGnIZHT70aQfPEjc4iVUe+wx3G/vXt5hCyFEidh8cv8xKJJm\ntT1oVtsT9i+GrBTo9jon4k/w46kfGdR8EP7OtYmaMBGH2rXweXNceYcshBAlZtPJ/VzsFQ6GJ5pv\npGZnwJ550LAnuvYtfLrvU6o6V2VI6yHEzP6CrHPnqPvBB9i7uxdesRBCVHA2ndx/Co5EKXigjS8c\n+s68GEf3kWwN38reS3sZ2mYojkfOEr90KdUGPoFb167lHbIQQliFza7EpLXm5+BIujX0oraHI+z6\nAuq2I7teZ6ave4jAqoE84n8/EQ8/jmOdOviMGVveIQshhNXYbMs96EICF+LTzNMNHFsH8Weh+0hW\nnljFhZQLjOkwhsTZX5IVFkadqR9i7+5W3iELIYTV2Gxy/zEoEhdHO+5rWQt2zIQaDUkI6Ma8kHl0\nq9uN9pdciV++nOr/Nwi3zp3LO1whhLAqm+yWyTKY+DXkIve1rI171E64eBD6z+LLkPmkZacxuuUw\nop4bjaOvLz6jRxdeoRBCVDI22XLfciKapPRsc5fMjpngXosz9Tuy5uQaHm3yKB5L15F94QJ1pn6I\nnZt0xwghbI9NJvefgiLxcnemu1ukeUGOzkOZfvALqjhUYbChKwkrVlD9qadw69ixvEMVQohSYXPJ\nPSktm83Ho3mgTV0cds8GZ092+LZgR+QOhjZ5npR3PsLR3x+fUW+Ud6hCCFFqbC65/xZ6kSyjiSca\nZsPRnzG0f5bph77C38Ofnr9FkR0ZSd2pH2JXpUp5hyqEEKXG5pL7T8ERNPJxp8nZZWDnwFoff84k\nnWG8fT+SVq6ixjNPU6VDh/IOUwghSpVNJffw+DT2nU/g/1q6og5+S9ItjzD3+Aq6VWtP7Vk/4FS/\nPt4jR5Z3mEIIUepsaijkz8GRADxq+BUMmSyoUZOkc0m8fqgahov/UP/bb7FzdS3nKIUQovTZTMtd\na81PByO5o74LnqFfE9b0Hr4L28ArWV3gp43UeO45qrS7tbzDFEKIMmEzyT0kIomzMVcYWX0XZCTx\nmacrntmO9Pz2OE4NGuD9+ojyDlEIIcqMzXTL/BQciZuDiTYR3/JPwG1siQ1m9oHmmKKPUPe7Wdi5\nuJR3iEIIUWZsouWebTSx/lAU431D0akX+cTNnrujqlP7r1BqvvA8rm3blneIQghRpmwiuW8/FUP8\nlQweSl/Lz3WbcCE+kpd+y8apYUO8hg8v7/CEEKLM2URy/yk4igGuIaiUs3zhZs+oXdVxSEih7rSP\nsHN2Lu/whBCizFX6PveUjGz+PHKJP6v+wSKPevgfT6HNXhM1X34Z11tuKe/whBCiXFT6lvvvhy/R\nyngMh8wjrFV2vL7JCefGjfAa9lp5hyaEEOWm0rfcfw6OZFSVDXzu5cPTf5mokmKgzqJp2Dk5lXdo\nQghRbip1y/1iUjqx5w5RxeEQsRH23B5iMHfHtGpZ3qEJIUS5qtTJ/efgKAbbr2eWW01e+QMcmzTG\ne+jQ8g5LCCHKXaVN7lprdhwIxrFqMF3+tsMzHfymTUNJd4wQQlTe5H70YjLdE1fzd6wnPY5ovF55\nBZcWLco7LCGEqBAqbXL/Y99RTG77eHwTmBrXx3vIkPIOSQghKoxKOVrGaNLowwtw3e+CR4ai4acz\npTtGCCFysajlrpTqrZQ6oZQ6rZQan89+Z6XU9zn79yqlAqwdaG67j0fgFLOLLsegyuBncWnWrDRP\nJ4QQlU6hyV0pZQ/MBfoALYBBSqm8ndsvAgla60bA58DH1g40t5CNH9Bxmx1J9Txp8Nqo0jyVEEJU\nSpa03DsCp7XWZ7XWWcAqYECeMgOAZTmv1wI9lVLKemFedSU9He8t23DLgKYz56McHUvjNEIIUalZ\nktx9gfBc7yNytuVbRmttAJKAmtYIMK8N016i1Um4cF8zqreUqXyFECI/liT3/FrguhhlUEq9rJTa\nr5TaHxMTY0l813HwrMbJhvbcM/XbYh0vhBA3A0uSewRQL9d7PyCqoDJKKQegKhCftyKt9QKtdQet\ndQdvb+9iBfzQ6LkM+O0wTq5VinW8EELcDCxJ7vuAxkqpBkopJ2AgsC5PmXXAszmvHwU2a62va7kL\nIYQoG4WOc9daG5RSw4CNgD2wRGt9RCn1HrBfa70OWAysUEqdxtxiH1iaQQshhLgxix5i0lpvADbk\n2TYl1+sM4DHrhiaEEKK4Ku30A0IIIQomyV0IIWyQJHchhLBBktyFEMIGSXIXQggbpMprOLpSKgYI\nK+bhXkCsFcOxFomraCSuoquosUlcRVOSuOprrQt9CrTckntJKKX2a607lHcceUlcRSNxFV1FjU3i\nKpqyiEu6ZYQQwgZJchdCCBtUWZP7gvIOoAASV9FIXEVXUWOTuIqm1OOqlH3uQgghbqyyttyFEELc\nQIVL7iVZjFspNSFn+wml1H1lHNcopdRRpVSIUuovpVT9XPuMSqmDOV95p0su7bieU0rF5Dr/S7n2\nPauUOpXz9WzeY0s5rs9zxXRSKZWYa19pXq8lSqlopdThAvYrpdTsnLhDlFLtcu0rletlQUxP5sQS\nopTapZRqk2vfeaVUaM612m+tmIoQ251KqaRcP68pufbd8DNQynGNzRXT4ZzPVI2cfaVyzZRS9ZRS\nW5RSx5RSR5RSr+dTpuw+X1rrCvOFeUrhM0Ag4AQcAlrkKfMqMC/n9UDg+5zXLXLKOwMNcuqxL8O4\n7gKq5Lwe+m9cOe9Ty/F6PQfMyefYGsDZnH+r57yuXlZx5Sk/HPNU0qV6vXLq7gG0Aw4XsL8v8Dvm\n1cU6A3vL4HoVFlPXf8+FeaH6vbn2nQe8yvF63Qn8WtLPgLXjylO2P+Y1Jkr1mgF1gHY5rz2Ak/n8\nfyyzz1dFa7mXZDHuAcAqrXWm1voccDqnvjKJS2u9RWudlvN2D+YVq0qbJderIPcBm7TW8VrrBGAT\n0Luc4hoErLTSuW9Ia72NfFYJy2UAsFyb7QGqKaXqUIrXq7CYtNa7cs4JZffZ+vfchV2vgpTks2nt\nuMrk86W1vqi1Dsp5nQIc4/r1psvs81XRkntJFuO25NjSjCu3FzH/dv6XizKvHbtHKfWglWIqSlyP\n5PwJuFYp9e+SiRXieuV0XzUANufaXFrXyxIFxV6a16so8n62NPCnUuqAUurlcogHoItS6pBS6nel\nVMucbRXieimlqmBOkj/k2lzq10yZu4tvBfbm2VVmny+LFusoQyVZjNuiRbqLyeK6lVJPAR2AO3Jt\n9tdaRymlAoHNSqlQrfWZMoprPbBSa52plHoF8189d1t4bGnG9a+BwFqttTHXttK6XpYoj8+XRZRS\nd2FO7t1zbe6Wc618gE1KqeM5rdqyEoT5cfhUpVRf4GegMRXgeuXoD+zUWudu5ZfqNVNKuWP+ZTJS\na52cd3c+h5TK56uitdxLshi3JceWZlwopXoBk4AHtNaZ/27XWkfl/HsW2Ir5N3qZxKW1jssVy0Kg\nvaXHlmZcuQwkz5/MpXi9LFFQ7KV5vQqllGoNLAIGaK3j/t2e61pFAz9hva5Ii2itk7XWqTmvNwCO\nSikvyvl65XKjz5fVr5lSyhFzYv9Wa/1jPkXK7vNl7ZsKJbwh4YD5RkIDrt6EaZmnzGtce0N1dc7r\nllx7Q/Us1ruhaklct2K+gdQ4z/bqgHPOay/gFFa6sWRhXHVyvX4I2KOv3sA5lxNf9ZzXNcoqrpxy\nTTHf3FJlcb1ynSOAgm8Q9uPaG17/lPb1siAmf8z3kLrm2e4GeOR6vQvobc1rZUFstf/9+WFOkhdy\nrp1Fn4HSiitn/78NP7eyuGY53/dyYOYNypTZ58uqHwIrXaC+mO8ynwEm5Wx7D3NrGMAFWJPzYf8H\nCMx17KSc404Afco4rv8Bl4GDOV/rcrZ3BUJzPtyhwItlHNdHwJGc828BmuU69oWc63gaeL4s48p5\n/w4wLc9xpX29VgIXgWzMraUXgVeAV3L2K2BuTtyhQIfSvl4WxLQISMj12dqfsz0w5zodyvkZT7Lm\ntbIwtmG5Pl97yPULKL/PQFnFlVPmOcyDLHIfV2rXDHN3mQZCcv2s+pbX50ueUBVCCBtU0frchRBC\nWIEkdyGEsEGS3IUQwgZJchdCCBskyV0IIWyQJHchAKXUVqXUnPKOQwhrkeQuhBA2SJK7EELYIEnu\nQlxlp5SaqpSKzVkIYrpSSv6PiEpJPrhCXPUkYMA8BcIwYCTwRLlGJEQxyfQDQmC+oYp5wrIuubZt\nAsK01i8VeKAQFZS03JgJ1CQAAAB0SURBVIW4KiTP+yjApzwCEaKkJLkLcVV2nvca+T8iKin54Aoh\nhA2S5C6EEDZIkrsQQtggGS0jhBA2SFruQghhgyS5CyGEDZLkLoQQNkiSuxBC2CBJ7kIIYYMkuQsh\nhA2S5C6EEDZIkrsQQtggSe5CCGGD/h8dunHvQPEI9gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c93e886c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.linspace(0, 2, N)\n",
    "\n",
    "for i in [0.7,0.9,1.1,1.3 ]:\n",
    "    variomod = geo.Variogram( i, 1, typ='spherical' )\n",
    "    C = variomod(X)\n",
    "    plt.plot(X, C)\n",
    "    \n",
    "plt.xlabel('h',fontsize=14)\n",
    "plt.savefig('tmp.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Mean vector and covariance matrix\n",
    "mu = np.array([0., 0.])\n",
    "sx = 1.2\n",
    "sy = 1.2\n",
    "rho = 0.99\n",
    "cxy = rho * sx *sy\n",
    "Sigma = np.array([[ sx**2. , cxy], [cxy,  sy**2] ])\n",
    "\n",
    "n=10000\n",
    "\n",
    "pos=np.zeros(shape=(1,1,2))\n",
    "x=np.random.uniform(-3,3,n)\n",
    "y=np.random.uniform(-3,3,n)\n",
    "r= np.corrcoef(x,y) \n",
    "\n",
    "for i in range(n):\n",
    "    pos[0,0,0] = x[i]\n",
    "    pos[0,0,1] = y[i]\n",
    "    p=multivariate_gaussian(pos, mu, Sigma)\n",
    "    u=np.random.uniform(0,1,1)\n",
    "    if( u>p ):\n",
    "        x[i] = np.nan\n",
    "        y[i] = np.nan\n",
    "        \n",
    "x = x[np.isfinite(x)]\n",
    "y = y[np.isfinite(y)]\n",
    "        \n",
    "r = np.corrcoef(x,y) \n",
    "print('Linear correlation coefficient:',r[1,0])\n",
    "\n",
    "fig = plt.figure( figsize=(6,6) )\n",
    "plt.plot(x,y,'o')\n",
    "plt.xlabel('x',fontsize=20)\n",
    "plt.ylabel('y',fontsize=20)\n",
    "plt.grid()\n",
    "\n",
    "plt.savefig('tmp.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "y = x*(x-2)*(x+2)\n",
    "\n",
    "r = np.corrcoef(x,y) \n",
    "print('Linear correlation coefficient:',r[1,0])\n",
    "\n",
    "fig = plt.figure( figsize=(6,6) )\n",
    "plt.plot(x,y,'o')\n",
    "\n",
    "plt.xlabel('x',fontsize=20)\n",
    "plt.ylabel('y',fontsize=20)\n",
    "plt.grid()\n",
    "\n",
    "plt.savefig('tmp.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
